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Keywords
(8)
Copper
Iron
Nickel
Partial Differential Equation
Shear Bands
Depleted Uranium
Interstitial Free
Shear Stress
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(2)
Adiabatic shear ...
The initiation and growth of, and the interaction among, adiabatic shear bands in simple and dipolar materials
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Analysis of shear banding in twelve materials
Analysis of shear banding in twelve materials,10.1016/07496419(92)90058K,International Journal of Plasticity,R. C. BATRA,C. H. KIM
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Analysis of shear banding in twelve materials
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Citations: 49
)
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R. C. BATRA
,
C. H. KIM
The problem of the initiation and growth of
shear bands
in 12 different materials, namely, OFHC copper, Cartridge brass,
Nickel
200, Armco IF (interstitial free) iron, Carpen ter electric iron, 1006 steel, 2024T351 aluminum, 7039 aluminum, low alloy steel, S7 tool steel, Tungsten alloy, and
Depleted Uranium
(DU 0.75 Ti) is studied with the objectives of find ing out when a shear band initiates, and upon what parameters does the band width depend. The nonlinear coupled partial differential equations governing the overall simple shearing de formations of a thermally softening viscoplastic block are analyzed. It is assumed that the ther momechanical response of these materials can be adequately represented by the JohnsonCook law, and the only inhomogeneity present in the block is the variation in its thickness. The ef fect of the defect size on the initiation and subsequent growth of the band is also studied. It is found that, for each one of these 12 materials, the deformation has become nonhomogeneous by the time the maximum
shear stress
occurs. Also the band width, computed when the
shear stress
has dropped to 85% of its peak value, does not correlate well with the thermal conduc tivity of the material. The band begins to grow rapidly when the
shear stress
has dropped to 90°/0 of its maximum value.
Journal:
International Journal of Plasticity  INT J PLASTICITY
, vol. 8, no. 4, pp. 425452, 1992
DOI:
10.1016/07496419(92)90058K
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Citation Context
(26)
...This differs from the ASB initiation criterion proposed by Batra and Kim [
35
]: an ASB initiates at a point when the shear stress there has B.M...
B. M. Love
,
et al.
Effect of particulate/matrix debonding on the formation of adiabatic s...
...Batra and Kim (
1992
) investigated the occurrence and development of adiabatic shear bands in different materials...
H. M. Wen
,
et al.
Transition of Plugging Failure Modes for Ductile Metal Plates Under Im...
...Batra and Kim [
55
] used the stress drop s=smax ¼ ^...
...K. For the criterion used by Grady [50], ec ¼ 0.15, and we get ^ K ¼ 0:89. In Batra and Kim [
55
], values of ^...
Z. G. Wei
,
et al.
Damage model for anisotropic materials, and its application to analysi...
...When the composite was replaced by an equivalent homogenized medium the criterion to delineate the initiation of localization of deformation proposed for a homogeneous material (e.g., see
Batra and Kim (1992)
, Batra and Lear (2005)) could be used...
B. M. Love
,
et al.
Determination of effective thermomechanical parameters of a mixture of...
...Furthermore, Batra (1987a) has characterized the effect of different material parameters on the initiation and development of SBs;
Batra and Kim (1992)
, and Batra and Lear (2005) have ranked different materials according to their susceptibility to shear banding...
...Values of other parameters, taken either from Johnson and Cook (1983) or
Batra and Kim (1992)
, are listed in Table 1. Thus the reference temperature h0 ¼ �A=ð�q�cÞ equals 122 K. That is, values of temperature rise in K equal 122 times the nondimensional values reported below...
...
Batra and Kim (1992)
numerically studied simple shearing deformations of twelve materials under thermally insulated boundary conditions but a geometric defect introduced at the block center to initiate a SB. They postulated that a SB initiates at a point when the shear stress there has dropped to 80% of its maximum value at that point and the material point is deforming plastically...
...For thermally insulated boundaries,
Batra and Kim (1992)
plotted the localization ratio for twelve materials...
...As vividly shown in Fig. 8 of
Batra and Kim (1992)
the computed band width varies with the localization ratio, and the half band width does not equal the distance from the center to the farthest point where the SB has initiated...
R. C. Batra
,
et al.
Shear bands due to heat flux prescribed at boundaries
References
(3)
The relation between adiabatic shear instability strain and material properties
(
Citations: 33
)
M STAKER
Journal:
Acta Metallurgica
, vol. 29, no. 4, pp. 683689, 1981
An analysis of shear band development incorporating heat conduction
(
Citations: 11
)
J Lemonds
Journal:
Mechanics of Materials  MECH MATER
, vol. 5, no. 4, pp. 363373, 1986
An experimental study of the formation process of adiabatic shear bands in a structural steel
(
Citations: 172
)
A. Marchand
,
J DUFFY
Journal:
Journal of The Mechanics and Physics of Solids  J MECH PHYS SOLIDS
, vol. 36, no. 3, pp. 251283, 1988
Sort by:
Citations
(49)
Effect of particulate/matrix debonding on the formation of adiabatic shear bands
(
Citations: 1
)
B. M. Love
,
R. C. Batra
Journal:
International Journal of Mechanical Sciences  INT J MECH SCI
, vol. 52, no. 2, pp. 386397, 2010
Transition of Plugging Failure Modes for Ductile Metal Plates Under Impact by FlatNosed Projectiles
(
Citations: 1
)
H. M. Wen
,
W. H. Sun
Journal:
Mechanics Based Design of Structures and Machines  MECH BASED DES STRUCT MECH
, vol. 38, no. 1, pp. 86104, 2010
Modeling and simulation of high speed sliding
Zhigang Wei
,
R. C. Batra
Journal:
International Journal of Impact Engineering  INT J IMPACT ENG
, vol. 37, no. 12, pp. 11971206, 2010
Numerical simulation of fabric anisotropy and strain localization of sand under simple shear
Omar Al Hattamleh
,
B. Muhunthan
,
Faisal Shalabi
Journal:
International Journal for Numerical and Analytical Methods in Geomechanics  INT J NUMER ANAL METH GEOMECH
, vol. 33, no. 9, pp. 12551275, 2009
On the transition from adiabatic shear banding to fracture
(
Citations: 14
)
X. Teng
,
T. Wierzbicki
,
H. Couque
Journal:
Mechanics of Materials  MECH MATER
, vol. 39, no. 2, pp. 107125, 2007